If f(x) and g(x) are non-periodic funct...

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

A

is always differentiable at `x = x_(0)`

B

is never differentiable at `x = x_(0)`

C

is differentiable at `x = x_(0)` when `f(x_(0)) ne g(x_(0))`

D

cannot be differentiable at `x = x_(0)`, if `f(x_(0)) = g(x_(0))`

Text Solution

Verified by Experts

The correct Answer is:

C

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